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3 years ago

Please helppp!!! Is the set of positive irrational numbers closed for the operation of division? If not, give a counter-example.

2 answers:

7 0

Irrational numbers are "not closed" under addition, subtraction, multiplication or division. The numbers that are in the set of Complex Numbers, but are not in the set of Real Numbers .the imaginary number, i, which is the square root of negative one.

Mamont248 [21]3 years ago

4 0

Irriational numbers are not closed

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The vertices of xyz are x (1,-4)

dexar [7]

Answer:

5. The vertices of ΔX'Y'Z' are (-3, -7), (-6, -4), (-1, -2)

6. The vertices of ΔX'Y'Z' are (6, -7), (3, -4), (8, -2)

Step-by-step explanation:

If the point (x, y) translated by T → (h, k), then its image is (x + h, y + k)

In ΔXYZ

∵ X = (1, -4), Y = (-2, -1), Z = (3, 1)

∵ T → (-4, -3)

∴ h = -4 and k = -3

→ Use the rule above to find the image of the vertices of the Δ

∵ X' = (1 + -4, -4 + -3)

∴ X' = (-3, -7)

∵ Y' = (-2 + -4, -1 + -3)

∴ Y' = (-6, -4)

∵ Z' = (3 + -4, 1 + -3)

∴ Z' = (-1, -2)

∴ The vertices of ΔX'Y'Z' are (-3, -7), (-6, -4), (-1, -2)

In ΔXYZ

∵ X = (1, -4), Y = (-2, -1), Z = (3, 1)

∵ T → (5, -3)

∴ h = 5 and k = -3

→ Use the rule above to find the image of the vertices of the Δ

∵ X' = (1 + 5, -4 + -3)

∴ X' = (6, -7)

∵ Y' = (-2 + 5, -1 + -3)

∴ Y' = (3, -4)

∵ Z' = (3 + 5, 1 + -3)

∴ Z' = (8, -2)

∴ The vertices of ΔX'Y'Z' are (6, -7), (3, -4), (8, -2)

6 0

3 years ago

An article presents a study of the failure pressures of roof panels. A sample of 15 panels constructed with 8-inch nail spacing

wariber [46]

Answer:

There is sufficient evidence to conclude that six inches spacing has a higher mean failure pressure than 8 inches

Reject $H_0\ at\ 5%$ level of significance

Step-by-step explanation:

From the question we are told that:

Sample size 1 $n_1=15$

Spacing 1 $s_1=8$

Mean 1 $\=x_1=8.48$

Standard deviation 1 $\sigma_1=0.96 kPa$

Sample size 2 $n_2=16$

Spacing 2 $s_2=6$

Mean 1 $\=x_1=9.93$

Standard deviation 1 $\sigma_1=1.02 kPa$

Generally the hypothesis is mathematically given as

Null $H_0:\mu_1-\mu_2$

Alternative $H_a:\mu_1\mu_2$

Generally the equation for pooled estimate is mathematically given by

$S=\sqrt{\frac{(n_1-1)\sigma_1^2+(n_2-1)\sigma_2^2}{n_1+n_2-2} }$

Therefore

$S=\sqrt{\frac{(15-1)0.96^2+(16-1)1.02^2}{15+15-2} }$

$S=0.9905$

Generally the equation for test statistics is mathematically given by

$t=\frac{\=x_1+\=x_2}{S\sqrt{\frac{1}{n _1}+\frac{1}{n_2}}}$

$t=\frac{\=8.48-9.93}{0.9905\sqrt{\frac{1}{15}+\frac{1}{15}}}$

$t=-4.00091$

Therefore From table

$P value=P(t_{15+15-2}=4.00091)$

$P value=0.00041918$

$P$

Therefore

There is sufficient evidence to conclude that six inches spacing has a higher mean failure pressure than 8 inches

Reject $H_0\ at\ 5%$ level of significance

3 0

3 years ago

A student read a 303 –page book in 7 days. The table shows the total number of pages the student had read at the end

DaniilM [7]

To find the average number of pages the student read from day 2 to day 6, add the total pages in these days and divide by 5 days.

<h3>What is the average?</h3>

This is a very common word used in mathematics and stadistics to refer to the mean value in a set of values.

<h3>How to calculate the average from day 2 to day 6?</h3>

Add the pages the person read these days and then divide by 5 (total of days).

For example:

35 + 45 + 10 +25 + 20 = 135 / 5 = 27 pages

Note: This question is incomplete because the table is missing; due to this, the answer is based on general knowledge.

Learn more about average in: brainly.com/question/2426692

7 0

2 years ago

If a kite is 40 feet off the ground and the string holding the kite is 42 feet long, what is the angle of elevation to the kite

belka [17]

In this case, 40ft is the vertical distance from the ground, which is the height. This means that the kite and the string form an angle with the horizontal ground. A right angled triangle is formed. Use the inverse of sine to get the angle.

3 0

3 years ago

Draw a model to represent 12 x 6

tigry1 [53]

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Δ Δ Δ Δ Δ Δ Δ Δ Δ Δ Δ Δ
Δ Δ Δ Δ Δ Δ Δ Δ Δ Δ Δ Δ
Δ Δ Δ Δ Δ Δ Δ Δ Δ Δ Δ Δ
Δ Δ Δ Δ Δ Δ Δ Δ Δ Δ Δ Δ
Δ Δ Δ Δ Δ Δ Δ Δ Δ Δ Δ Δ

7 0

4 years ago